scholarly journals Complex Langevin study for polarons in a one-dimensional two-component Fermi gas with attractive contact interactions

2021 ◽  
Vol 3 (3) ◽  
Author(s):  
Takahiro M. Doi ◽  
Hiroyuki Tajima ◽  
Shoichiro Tsutsui
Keyword(s):  
Fermi Gas ◽  
Contact Interactions ◽  
One Dimensional ◽  
Two Component

scholarly journals Expansion velocity of a one-dimensional, two-component Fermi gas during the sudden expansion in the ballistic regime

2012 ◽  
Vol 85 (4) ◽  
Author(s):  
S. Langer ◽  
M. J. A. Schuetz ◽  
I. P. McCulloch ◽  
U. Schollwöck ◽  
F. Heidrich-Meisner
Keyword(s):  
Fermi Gas ◽  
Sudden Expansion ◽  
Expansion Velocity ◽  
Ballistic Regime ◽  
One Dimensional ◽  
Two Component

scholarly journals Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Przemysław Kościk ◽  
Arkadiusz Kuroś ◽  
Adam Pieprzycki ◽  
Tomasz Sowiński
Keyword(s):  
Boundary Conditions ◽  
Ground State ◽  
Pair Correlation ◽  
Contact Interactions ◽  
One Dimensional ◽  
Particle Correlations ◽  
Variational Scheme ◽  
Full Control ◽  
Arbitrary Shapes

AbstractWe derive and describe a very accurate variational scheme for the ground state of the system of a few ultra-cold bosons confined in one-dimensional traps of arbitrary shapes. It is based on assumption that all inter-particle correlations have two-body nature. By construction, the proposed ansatz is exact in the noninteracting limit, exactly encodes boundary conditions forced by contact interactions, and gives full control on accuracy in the limit of infinite repulsions. We show its efficiency in a whole range of intermediate interactions for different external potentials. Our results manifest that for generic non-parabolic potentials mutual correlations forced by interactions cannot be captured by distance-dependent functions.

scholarly journals Temperature correlators in the two-component one-dimensional gas

1998 ◽  
Vol 520 (3) ◽  
pp. 594-632 ◽  
Author(s):  
A.G. Izergin ◽  
A.G. Pronko
Keyword(s):  
One Dimensional ◽  
Two Component

Correlators in the one-dimensional two-component Bose and Fermi gases

1997 ◽  
Vol 236 (5-6) ◽  
pp. 445-454 ◽  
Author(s):  
A.G. Izergin ◽  
A.G. Pronko
Keyword(s):  
Fermi Gases ◽  
One Dimensional ◽  
Two Component ◽  
The One
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